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Finding the Fourth Proportional to 3,773.94, 5,206.92 and 2,201.76

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Solution

The fourth proportional to 3,773.94, 5,206.92 and 2,201.76 is: 3,037.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.94 : 5,206.92 = 2,201.76 : x
  2. Step 2: Convert to fraction form
    3,773.94/5,206.92 = 2,201.76/x
  3. Step 3: Cross multiply
    3,773.94x = 5,206.92 × 2,201.76
  4. Step 4: Simplify right side
    3,773.94x = 11,464,388.18
  5. Step 5: Solve for x
    x = 11,464,388.18/3,773.94
  6. Step 6: Final answer
    x = 3,037.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.